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Finding the Fourth Proportional to 18,284.78, 27,428.24 and 5,138.18

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Solution

The fourth proportional to 18,284.78, 27,428.24 and 5,138.18 is: 7,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.78 : 27,428.24 = 5,138.18 : x
  2. Step 2: Convert to fraction form
    18,284.78/27,428.24 = 5,138.18/x
  3. Step 3: Cross multiply
    18,284.78x = 27,428.24 × 5,138.18
  4. Step 4: Simplify right side
    18,284.78x = 140,931,212.76
  5. Step 5: Solve for x
    x = 140,931,212.76/18,284.78
  6. Step 6: Final answer
    x = 7,707.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.